Semi-definite Programming and its Application to Atomic and Molecular Physics

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The lecture will be designed for a mixed audience of mathematicians and physicists. Therefore it will not be assumed that people are familiar with the techniques of linear programming nor with the details of atomic or molecular structure calculations. A quick review will be given of the method, originally developed mostly by Claude Garrod, Mitja Rosina, and Robert Erdahl for atomic and molecular structure calculations. It will be shown how the method leads to large problems in semi-definite programming and how recent advances in semi-definite programming have yealded very encouraging results.

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